arXiv 0912.12322009-12hep-th

开弦场论中的时滞

Delays in Open String Field Theory

Frederik Beaujean, Nicolas Moeller

备注：: 48 pages, 14 figures. v2: References added; Section 4 augmented by a discussion of the diffusion equation; discussion of growing modes in Section 4 slightly expanded

摘要：

利用能级截断开弦场论研究了线性介子背景下类光快子凝聚的动力学。运动方程是时滞微分方程。这一观察使我们能够采用我们简要回顾的成熟的数学方法。在零级，运动方程是所谓的延迟型，即使在遥远的光锥未来，也可以非常有效地找到解。然而，在高于零的水平上，方程不是延迟型的。我们表明，这意味着在非微扰真空中存在指数增长的模式，可能使光滚动不稳定。然而，使用指数级数的蛮力计算表明，对于位于无限光锥过去的假真空中的快子的特定初始条件，滚动不受不稳定模式的影响，并且仍然收敛到非微扰真空，与Hellerman和Schnabl的解一致。最后，我们表明，增长模式引入非局部性混合现在与未来，我们被引导到猜想，在无限水平的限制，在一个轻的线性的非局部性的背景是一个离散版本的涂抹非局部性发现在协变开弦场论在平坦的空间。

英文摘要：

We study the dynamics of light-like tachyon condensation in a linear dilaton background using level-truncated open string field theory. The equations of motion are found to be delay differential equations. This observation allows us to employ well-established mathematical methods that we briefly review. At level zero, the equation of motion is of the so-called retarded type and a solution can be found very efficiently, even in the far light-cone future. At levels higher than zero however, the equations are not of the retarded type. We show that this implies the existence of exponentially growing modes in the non-perturbative vacuum, possibly rendering light-like rolling unstable. However, a brute force calculation using exponential series suggests that for the particular initial condition of the tachyon sitting in the false vacuum in the infinite light-cone past, the rolling is unaffected by the unstable modes and still converges to the non-perturbative vacuum, in agreement with the solution of Hellerman and Schnabl. Finally, we show that the growing modes introduce non-locality mixing present with future, and we are led to conjecture that in the infinite level limit, the non-locality in a light-like linear dilaton background is a discrete version of the smearing non-locality found in covariant open string field theory in flat space.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文